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2 years ago

The volume of a cube is 8 cubic meters. What is the length (in meters) of one edge of the cube?

Mathematics

1 answer:

notka56 [123]2 years ago

3 0

Answer:

Step-by-step explanation:

volume=base•width•high

2•2•2=8

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Diameter of a circle

Delicious77 [7]

In geometry, a diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle. Both definitions are also valid for the diameter of a sphere.

4 0

2 years ago

1. A man has 5 grandchildren, 4 girls and 1 boy. He thinks this is unusual. If the probability that any child born

ivanzaharov [21]

Answer:

6.25%

Step-by-step explanation:

To know the final probability that this has happened, we must multiply the probability of each event, they tell us that the probability that it is a girl is 1/2 and this happened 4 times, therefore:

(1/2) ^ 4 = 0.0625

that is, the probability that 4 girls are born is 6.25%

an unusual probability is considered when it is less than 5%, therefore, although it approaches this figure, it is not unusual

7 0

3 years ago

Write the equation of the function whose graph is shown. y = (x + )2 +

Deffense [45]

Quadratic form is given in the form
$y= ax^{2}+bx+c$ , where a, b, and c are constants

We substitute the value (8, 12) and (5,3) in turn

$12= a(8)^{2}+b(8)+c$
$12=64a+8b+c$ ... Equation 1

$3=a(5)^{2}+b(5)+c$
$3=25a+5b+c$ ... Equation 2

Equation 1 - Equation 2 gives
$39a+3b=9$ , we call this Equation 3

We also know that (5, 3) is the turning point of the curve, where the value of $x$ is given by $x=- \frac{b}{2a}$
Substitute $x=5$
$5=- \frac{b}{2a}$
$10a=-b$
$b=-10a$ ... Equation 4

Substitute Equation 4 into Equation 3
$39a+3b=9$
$39a+3(-10a)=9$
$39a-30a=9$
$9a=9$
$a=1$

Now we need to work out the value of $b$ and $c$

Substitute $a=1$ back into equation 4
$-10a=b$
$-10(1)=b$
$b=-10$

Substitute $a=1$ and $b=-10$ into either equation 1 or equation 2

$64a+8b+c=12$
$64(1)+8(-10)+c=12$
$64-80+c=12$
$c=12+80-64$
$c=28$

Hence the equation of the quadratic curve is
$y= x^{2} 10x+28$

8 0

3 years ago

Read 2 more answers

Mrs ameldos class has 5 students with blue eyes 7 with brown eyes 4 with hazel eyes and 4 with green eyes. Two students are sele

shusha [124]

4/20 x 7x20 = 28/400 or 7/100.

3 0

2 years ago

Verify whether the indicated numbers are zeroes of their corresponding polynomials.

natita [175]

Answer:

No, incorrect

Step-by-step explanation:

Given

Q(s) = -4s^3 + 7s^2 - 24;
s = -4 and 1

Verifying zeroes

Q(-4) =

-4(-4)^3 + 7(-4)^2 - 24 =
256 + 112 - 24 =
344
Incorrect as 344 ≠ 0

Q(1) =

-4(1)^3 + 7(1)^2 - 24 =
-12 + 7 - 24 =
-29
Incorrect as -29 ≠ 0

8 0

2 years ago